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High School Mathematics - 2
10.18 Trignometry Review

Function 0o 30456090
sin 0/2 1/22/23/24/2
cos 4/2 3/22/21/20
tan 0 3/313undefined
sec 1 23/322undefined
csc undefined 2223/31
cot undefined 313/30

sin cos tan
0 0 1 0
90 1 0 infinity
180 0 -1 0
270 -1 0 infinity




Functions of angles in all quadrants in terms of those in quadrant 1
-A 900 A
P/2 A
1800 A
P A
2700 A
3P/2 A
3600 A
2P A
sin -sinA cos A sin A -cosA sin A
cos cos A sin A -cos A sin A cos A
tan -tan A cot A tan A cot A tan A
csc -csc A sec A csc A -sec A csc A
sec sec A csc A -sec A csc A sec A
cot -cot A tan A cot A tan A cot A

Q 1: The angular elevation of a tower from a point is 30 degrees at a point in a horizontal line to the foot of the tower and 100 metres near it is 60 degrees, find the distance of the first point from the tower.
Answer:

Q 2: cos 75o
Answer:

Q 3: If the shadow of a tower is 30 metres, when the sun's altitude is 30o, what is the length of the shadow when the sun's altitude is 60o?
100 metres
240 metres
200 metres

Q 4: In triangle ABC, a= 15 cm, B = 68 degrees, C = 43 degrees, find b, c and B.
A = 69 degrees, b = 4.89 cm, c = 10.96 cm
A = 60 degrees, b = 3 cm, c = 7 cm
A = 60 degrees, b = 4 cm, c = 9 cm

Q 5: In a circle of diamter 40 cm, the length of a chord is 20 cm. Find the length of the minor arc of the chord.
/3
20/3
5/3

Q 6: What is the angle of elevation of the sun when the length of the shadow of a pole is 31/2 times the height of the pole?
90o
60o
30o

Q 7: Given cos T = 3/5, calculate the value of sin T, tan T.
Answer:

Q 8: In a triangle ABC, a = 2, b = 3 and sin A = 2/3, find angle B.
80 degrees
75 degrees
90 degrees

Question 9: This question is available to subscribers only!

Question 10: This question is available to subscribers only!


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